Why some infinities are bigger than others | Aeon Essays

Read Why some infinities are bigger than others by A. W. Moore (Aeon Essays)
Georg Cantor showed that some infinities are bigger than others. Did he assault mathematical wisdom or corroborate it?
Lofty goals here, but I’m not quite sure he’s really make the case he set out to in these few words. The comments on the article are somewhat interesting, but seem to devolve into the usual pablum seen on such posts. Nothing stuck out to me as a comment by a solid mathematician, which might have been interesting.